To back up your entire drive to an external drive, this is one of the best apps:
http://www.shirt-pocket.com/SuperDuper/SuperDuperDescription.html
You can use the basic features for free.
Just using the finder and dragging the directory should be reliable and trustworthy.
It sounds like you're wanting to create space on your laptop by moving these important files off, then deleting the originals. The fact that you're paranoid makes me question whether you have a proper backup at the moment?
You really need to have these files in 2 places at once, in case one drive dies.
While SuperDuper! and CCC are both great apps, and are better than Time Machine in that the backups are bootable - they're only good if you actually use them.
The great feature about Time Machine is that it's automatic set-and-forget. You can't forget to backup. I think you should just use that.
Since I now know of those programs... shouldn't I just use those instead of Time Machine all together? If my laptop were to fail wouldn't I want to have a bootable backup of my drive? (Besides the fact that Time Machine convieniently backs up all time).